CAGR Calculator

The CAGR formula is straightforward but powerful. It distills any growth trajectory — no matter how volatile — into a single annualized rate:

CAGR = (Ending Value / Beginning Value)^(1 / Number of Years) - 1

Breaking down each component:

• Ending Value — The final value of your investment at the end of the measurement period. This includes all capital gains, dividends reinvested, or revenue growth.
• Beginning Value — The initial value at the start of the measurement period. Must be greater than zero for the formula to work.
• Number of Years — The total time period in years. This can be a decimal (e.g., 2.5 years) for partial periods.
• The exponent (1/Years) — This is what converts a total return into an annual rate. It's essentially taking the nth root, where n is the number of years.

Worked example: Suppose you invested $10,000 and after 7 years it grew to $19,500. The CAGR would be: ($19,500 / $10,000)^(1/7) - 1 = (1.95)^(0.1429) - 1 = 0.0995, or approximately 9.95% per year.

This means that a hypothetical investment growing at exactly 9.95% every single year would have turned $10,000 into $19,500 over 7 years — the same outcome as your actual investment, regardless of how bumpy the actual annual returns were along the way.

What counts as a "good" CAGR depends entirely on the asset class, time period, and risk you're taking. Here's a framework for evaluating CAGR across different contexts:

Historical benchmarks for U.S. equities:

• S&P 500 long-term CAGR: ~10% — Over the past 50+ years, the S&P 500 has delivered roughly 10% annualized returns including dividends. After inflation, the real return is closer to 7%.
• Growth stocks: 15-25%+ — Top-performing growth companies can sustain CAGRs above 15% for extended periods. However, these returns come with significantly higher volatility and drawdown risk.
• Bonds: 3-6% — Investment-grade bonds have historically delivered low single-digit CAGRs, reflecting their lower risk profile.
• Cash / money market: 1-3% — The lowest-risk option typically barely keeps up with inflation over long periods.

Context matters more than the absolute number. A 12% CAGR is excellent for a diversified portfolio but unremarkable for a high-risk tech stock. Always compare CAGR against the relevant benchmark: a small-cap stock should be compared to the Russell 2000, not the S&P 500.

Risk-adjusted thinking: A 15% CAGR with 40% annual volatility may be less attractive than a 10% CAGR with 15% volatility. Metrics like the Sharpe ratio help capture this nuance, but CAGR alone doesn't account for the ride you took to get there.

CAGR is mathematically superior to simple average returns for measuring investment performance because it accounts for compounding — the fact that each year's gains or losses are applied to the previous year's ending balance, not the original amount.

The compounding problem with simple averages:

• Volatility drag — Simple averages ignore that losses hurt more than equivalent gains help. Losing 50% requires a 100% gain to break even. CAGR captures this asymmetry; simple averages hide it.
• Order of returns matters — $100 that gains 50% then loses 30% ends at $105. $100 that loses 30% then gains 50% also ends at $105. The simple average is 10% in both cases, but the CAGR is 2.47% — which correctly shows your money barely grew.
• The larger the swings, the worse the distortion — For a highly volatile asset, the gap between simple average and CAGR can be enormous. A cryptocurrency with annual returns of +200%, -80%, +150%, -60% has a simple average of 52.5% per year but might have a CAGR close to zero.

When simple averages are useful: Simple averages still have a place — they're the best unbiased estimate of what next year's return might be (the expected return). But for measuring what actually happened to your money over a multi-year period, CAGR is the only honest answer.

This is why every mutual fund factsheet, pension report, and institutional performance review uses CAGR (typically labeled "annualized return") rather than the simple arithmetic average.

Yes, CAGR can absolutely be negative, and it simply means your investment lost value on an annualized basis over the measured period. A negative CAGR occurs whenever the ending value is less than the beginning value.

How to interpret a negative CAGR:

• -5% CAGR over 3 years means your investment shrank by about 5% each year on a compounded basis. Starting with $10,000, you'd end with approximately $8,574.
• Magnitude matters — A -2% CAGR over a short period during a market downturn is very different from a -15% CAGR over 5 years. The first might be temporary market noise; the second signals a serious problem.
• Negative CAGR doesn't necessarily mean a bad investment going forward — A stock that dropped 40% might now be trading below its intrinsic value, making it a potential buy. This is exactly where DCF analysis becomes valuable — it tells you what the asset is worth today based on future cash flows, regardless of past performance.

Important edge cases: The CAGR formula requires the beginning value to be positive. If your investment went to zero, the CAGR is -100% (total loss). If the ending value is negative (possible with leveraged positions), the standard CAGR formula breaks down because you can't raise a negative number to a fractional exponent using real numbers.

For most practical purposes, a negative CAGR is a signal to dig deeper. Was it a market-wide downturn? A company-specific problem? Or a permanent impairment of capital? The CAGR quantifies the damage, but understanding the cause requires fundamental analysis.

CAGR is one of the most effective tools for comparing investments because it normalizes returns across different time periods and starting amounts. Here's how to use it properly:

Apples-to-apples comparison:

• Different holding periods — Suppose Investment A returned 60% over 3 years and Investment B returned 80% over 5 years. Which performed better? Investment A has a CAGR of 17.0%, while Investment B has a CAGR of 12.5%. On an annualized basis, A was the stronger performer despite the lower total return.
• Different starting amounts — CAGR is a percentage, so it works regardless of whether you invested $1,000 or $1,000,000. This makes it ideal for comparing your portfolio against benchmarks like the S&P 500.
• Revenue or earnings growth — CAGR isn't just for investment returns. It's widely used to compare company revenue growth rates, earnings growth, or market size expansion. A company growing revenue at a 25% CAGR is scaling faster than one at 12%, all else equal.

What CAGR doesn't tell you when comparing:

• Risk taken — A 15% CAGR from a leveraged crypto fund is not the same as 15% from a blue-chip dividend portfolio. Always consider volatility alongside CAGR.
• Path dependency — Two investments with identical CAGRs may have had wildly different journeys. One might have been steady; the other might have crashed 60% before recovering.
• Starting point bias — If you measure CAGR starting from a market bottom, the number will look artificially high. Starting from a peak, it will look low. The time period you choose matters.

Best practice: Use CAGR as your primary comparison metric, but supplement it with measures of risk (standard deviation, maximum drawdown) and consider the time period carefully. For a complete picture, pair CAGR with a discounted cash flow analysis to understand whether future growth is already priced in.

While CAGR is an essential metric, it has real blind spots that every investor should understand. Relying on CAGR alone can lead to incomplete — or even misleading — conclusions about performance.

Key limitations:

• Hides volatility — CAGR smooths out the entire journey into a single number. Two funds with the same CAGR might have radically different risk profiles. One might have delivered steady 8% years; the other might have swung between +40% and -20%. Your actual experience as an investor would be very different.
• Ignores interim cash flows — CAGR assumes you invested a lump sum at the start and touched nothing until the end. It doesn't account for dividends withdrawn, additional contributions, or partial withdrawals. For portfolios with regular cash flows, the IRR (Internal Rate of Return) is a more appropriate metric.
• Sensitive to start and end dates — Cherry- picking the measurement period can dramatically change the CAGR. Measuring from March 2009 (market bottom) to December 2021 (market top) gives a much higher CAGR than measuring from January 2000 to December 2010.
• Assumes reinvestment at the same rate — CAGR implicitly assumes all intermediate gains are reinvested at the CAGR itself. In reality, reinvestment rates fluctuate with market conditions.
• No forward-looking information — Past CAGR tells you what happened, not what will happen. A stock that delivered a 20% CAGR over the last decade might be overvalued today. This is where forward-looking analysis like DCF modeling becomes essential.

How to supplement CAGR: Pair it with standard deviation (for risk), maximum drawdown (for worst-case scenarios), and the Sharpe ratio (for risk-adjusted returns). For evaluating whether to buy or hold an investment today, a DCF model provides forward-looking valuation that CAGR simply can't offer.